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Finding the Fourth Proportional to 27,011.16, 40,518 and 8,290.44

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Solution

The fourth proportional to 27,011.16, 40,518 and 8,290.44 is: 12,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011.16 : 40,518 = 8,290.44 : x
  2. Step 2: Convert to fraction form
    27,011.16/40,518 = 8,290.44/x
  3. Step 3: Cross multiply
    27,011.16x = 40,518 × 8,290.44
  4. Step 4: Simplify right side
    27,011.16x = 335,912,047.92
  5. Step 5: Solve for x
    x = 335,912,047.92/27,011.16
  6. Step 6: Final answer
    x = 12,436.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.